MathDB
unlimited supply of square tiles and equilateral triangle tiles

Source: New Zealand MO 2020 Round 1 p3

September 20, 2021
combinatorial geometrycombinatoricsTilingtiles

Problem Statement

You have an unlimited supply of square tiles with side length 1 1 and equilateral triangle tiles with side length 1 1. For which n can you use these tiles to create a convex nn-sided polygon? The tiles must fit together without gaps and may not overlap.